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How to Solve Filling Bookcase Shelves Problem
Master the Filling Bookcase Shelves LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#1105
LeetCode ProblemFilling Bookcase Shelves
You are given an array books where books[i] = [thicknessi, heighti] indicates the thickness and height of the ith book. You are also given an integer shelfWidth. We want to place these books in order onto bookcase shelves that have a total width shelfWidth. We choose some of the books to place on this shelf such that the sum of their thickness is less than or equal to shelfWidth, then build another level of the shelf of the bookcase so that the total height of the bookcase has increased by the maximum height of the books we just put down. We repeat this process until there are no more books to place. Note that at each step of the above process, the order of the books we place is the same order as the given sequence of books. Return the minimum possible height that the total bookshelf can be after placing shelves in this manner.
ArrayDynamic Programming
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Problem Breakdown
Understanding the Filling Bookcase Shelves Problem
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Problem Statement
You are given an array books where books[i] = [thicknessi, heighti] indicates the thickness and height of the ith book. You are also given an integer shelfWidth. We want to place these books in order onto bookcase shelves that have a total width shelfWidth. We choose some of the books to place on this shelf such that the sum of their thickness is less than or equal to shelfWidth, then build another level of the shelf of the bookcase so that the total height of the bookcase has increased by the maximum height of the books we just put down. We repeat this process until there are no more books to place. Note that at each step of the above process, the order of the books we place is the same order as the given sequence of books. Return the minimum possible height that the total bookshelf can be after placing shelves in this manner.
MediumProblem #1105
LeetCodeFilling Bookcase Shelves
Related Topics
ArrayDynamic Programming
How Phantom Code Helps
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Examples
# Example 1
Input
books = [[1,1],[2,3],[2,3],[1,1],[1,1],[1,1],[1,2]], shelfWidth = 4
Output
6
# Example 2
Input
books = [[1,3],[2,4],[3,2]], shelfWidth = 6
Output
4
Constraints
1 <= books.length <= 1000
1 <= thicknessi <= shelfWidth <= 1000
1 <= heighti <= 1000
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Solve Filling Bookcase Shelves — You are given an array books where books[i] = [thicknessi, heighti] indicates th...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Filling Bookcase Shelves and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Filling Bookcase Shelves during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Filling Bookcase Shelves?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Filling Bookcase Shelves?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Filling Bookcase Shelves type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Filling Bookcase Shelves interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Filling Bookcase Shelves during live interviews?
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How does Phantom Code help when I'm struggling with Filling Bookcase Shelves style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Filling Bookcase Shelves interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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